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3 years ago

What is each number in scientific notation?

Mathematics

1 answer:

Vladimir [108]3 years ago

8 0

0.00037 = 3.7×10^-4

37,000 = 3.7×10^4

_____

The exponent of 10 is the place-value multiplier that the most-significant digit has.

In the first number, the most-significant digit (3) is multiplied by 0.0001 to find its place value. Of course 0.0001 = 10^-4.

In the second number, the most significant digit (3) is multiplied by 10,000 to find its place value. You know that 10,000 = 10^4.

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At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the avera

blondinia [14]

ANSWER

$Average \: Weight = 7 \frac{1}{8} \: bushels$

EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.

$Average \: Weight = \frac{8 \frac{1}{4} + 6 \frac{1}{2} + 6 \frac{5}{8} }{3}$

We convert all the mixed numbers to improper fraction to obtain,

$Average \: Weight = \frac{ \frac{33}{4} + \frac{13}{2} + \frac{53}{8} }{3}$

The least common denominator for the fractions in the numerator is 8.

This implies that,

$Average \: Weight = \frac{ \frac{66 + 52 + 53}{8} }{3}$

This simplifies to

$Average \: Weight = \frac{ \frac{171}{8} }{3}$

This gives us,

$Average \: Weight = \frac{171}{24}$

$Average \: Weight = \frac{57}{8}$

$Average \: Weight = 7 \frac{1}{8}$

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4 years ago

5. What is the slope of this graph?

Aliun [14]

answers for 5 and 6

5) C

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Step-by-step explanation:

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3 years ago

Streets A and B run parallel to each other. The measure of <3 is 153 degrees. Find the measure of <5

ipn [44]

Given:

$\angle3=153^{\circ}$ $\angle3\text{ and }\angle5\text{ are same side interior angles.}$ $\begin{gathered} \angle3+\angle5=180^{\circ} \\ 153+\angle5=180 \\ \angle5=180-153 \\ \angle5=27^{\circ} \end{gathered}$

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1 year ago

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sveticcg [70]

Answer:

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Step-by-step explanation:

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3 years ago

Help please and simplify answer in radical form if needed

deff fn [24]

Answer:

$16\sqrt{3}\:\mathrm{units^2}$

Step-by-step explanation:

The area of an equilateral triangle with side length $s$ is equal to $\frac{\sqrt{3}}{4}s^2$ . Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is $24\div 3=8$ units.

Substituting in this value, we get:

$\frac{\sqrt{3}}{4}8^2=\frac{64\sqrt{3}}{4}=\boxed{16\sqrt{3}}$

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3 years ago